There are two options for the location of points A, B, C on a circle.
In the first version, the chords AB and AC are located on opposite sides of the point A.
Then the degree measure of the arc BC will be equal to: BC = 360 – AB – AC = 360 – 75 – 112 = 173.
Then the angle BAC = BC / 2 = 173/2 = 86.5.
In the second case, chords AB and AC are located on the same side of point A.
Then the degree measure of the arc BC will be equal to: BC = AC – AB = 112 – 75 = 37.
Then the angle BAC = BC / 2 = 37/2 = 18.5.
Answer: The angle BAC is 86.5 or 18.5.
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